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Finding the Fourth Proportional to 166,498, 249,747.24 and 68,002

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Solution

The fourth proportional to 166,498, 249,747.24 and 68,002 is: 102,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,498 : 249,747.24 = 68,002 : x
  2. Step 2: Convert to fraction form
    166,498/249,747.24 = 68,002/x
  3. Step 3: Cross multiply
    166,498x = 249,747.24 × 68,002
  4. Step 4: Simplify right side
    166,498x = 16,983,311,814.48
  5. Step 5: Solve for x
    x = 16,983,311,814.48/166,498
  6. Step 6: Final answer
    x = 102,003.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.